Abstract This study proposes a new length scale that measures the size of the wave-induced vortex street on one side of a pipeline. By conducting dimensional analysis, we show that the equilibrium scour depth under a pipeline, when normalized by the vortex street size, is generally dependent on the densimetric Froude number. However, by analyzing the published data, the dependence is found to be insignificant if the current velocity is smaller than the maximum orbital velocity of water particles at the bed. This result suggests that the normalized scour depth can be simply taken to be a constant for both wave-alone and wave-plus-current conditions.

中文翻译：

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用于评估波浪引起的管道冲刷的长度尺度

摘要 本研究提出了一种新的长度尺度，用于测量管道一侧的波浪诱导涡街的大小。通过进行量纲分析，我们表明管道下的平衡冲刷深度，当通过涡街大小归一化时，通常取决于密度弗劳德数。然而，通过分析已发表的数据，发现如果当前速度小于床层水粒子的最大轨道速度，则相关性是微不足道的。该结果表明，对于单独的波浪和波浪加电流条件，归一化冲刷深度可以简单地视为常数。